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Finding the Fourth Proportional to 16,214.68, 24,304.20 and 6,352.12

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Solution

The fourth proportional to 16,214.68, 24,304.20 and 6,352.12 is: 9,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.68 : 24,304.20 = 6,352.12 : x
  2. Step 2: Convert to fraction form
    16,214.68/24,304.20 = 6,352.12/x
  3. Step 3: Cross multiply
    16,214.68x = 24,304.20 × 6,352.12
  4. Step 4: Simplify right side
    16,214.68x = 154,383,194.90
  5. Step 5: Solve for x
    x = 154,383,194.90/16,214.68
  6. Step 6: Final answer
    x = 9,521.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.